Finding the Third Proportional to 326,202 and 459,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,202 : 459,367.50 = 459,367.50 : x
2. Step 2: Convert to fraction form
   326,202/459,367.50 = 459,367.50/x
3. Step 3: Cross multiply
   326,202x = 459,367.50 × 459,367.50
4. Step 4: Simplify right side
   326,202x = 211,018,500,056.25
5. Step 5: Solve for x
   x = 211,018,500,056.25/326,202
6. Step 6: Final answer
   x = 646,895.18